WO2007076712A1 - Système et procédé de génération du signal chaotique mixte analogique-numérique et procédé de communication chiffrée associé - Google Patents

Système et procédé de génération du signal chaotique mixte analogique-numérique et procédé de communication chiffrée associé Download PDF

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Publication number
WO2007076712A1
WO2007076712A1 PCT/CN2006/003724 CN2006003724W WO2007076712A1 WO 2007076712 A1 WO2007076712 A1 WO 2007076712A1 CN 2006003724 W CN2006003724 W CN 2006003724W WO 2007076712 A1 WO2007076712 A1 WO 2007076712A1
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Prior art keywords
chaotic
digital
chaotic system
continuous
module
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PCT/CN2006/003724
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English (en)
Chinese (zh)
Inventor
Hanping Hu
Zuxi Wang
Xiaogang Wu
Lin Zhou
Ziqi Zhu
Jiwei Wei
Jie Yang
Pengyu Lu
Zhibin Zheng
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Huazhong University Of Science & Technology
Huawei Technologies Co., Ltd.
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Application filed by Huazhong University Of Science & Technology, Huawei Technologies Co., Ltd. filed Critical Huazhong University Of Science & Technology
Priority to DE602006013196T priority Critical patent/DE602006013196D1/de
Priority to AT06840754T priority patent/ATE462240T1/de
Priority to EP06840754A priority patent/EP1971070B1/fr
Publication of WO2007076712A1 publication Critical patent/WO2007076712A1/fr
Priority to US12/163,744 priority patent/US8144872B2/en

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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04K—SECRET COMMUNICATION; JAMMING OF COMMUNICATION
    • H04K1/00—Secret communication
    • H04K1/02—Secret communication by adding a second signal to make the desired signal unintelligible
    • H04K1/025—Secret communication by adding a second signal to make the desired signal unintelligible using an analogue chaotic signal
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/12—Transmitting and receiving encryption devices synchronised or initially set up in a particular manner

Definitions

  • the present invention relates to cryptography in the field of information security, and more particularly to a system and method for generating analog-digital hybrid chaotic signals, and an encrypted communication method.
  • chaos is beginning to be used in the field of secure communications.
  • the so-called chaos is an external complex performance caused by inherent randomness in a deterministic system, and it is a seemingly random non-random motion.
  • chaotic signals are characterized by ergodicity, wideband, noise-like, sensitivity to initial conditions, autocorrelation of fast decay, and weak cross-correlation, they provide a rich mechanism and method for secure communication.
  • the existing Chaotic Encryption System has two types of digital chaotic systems and continuous (or analog) chaotic systems.
  • the digital chaotic system is less affected by noise interference and device parameters, and it is easy to work stably for a long time, and the system can be accurately reproduced.
  • the generation of digital chaotic sequences is implemented on a computer or other finite device, so any digital chaotic sequence generator can be reduced to a finite automaton, under which the generated digital chaotic sequence will Characteristic degradation occurs: short period, strong correlation, and small linear complexity, that is, the actual digital chaotic system and the ideal real-value chaotic system have considerable differences in dynamic characteristics.
  • the continuous chaotic system (that is, the simulated chaotic system) has a continuous state (such as voltage, current, etc.) space, so that the chaotic sequence generated by it has good density. Code characteristics.
  • continuous chaotic systems are generally not easy to maintain stable synchronization for a long time, which seriously affects the practical process of secure communication systems based on chaotic synchronization.
  • Embodiments of the present invention provide a system and method for generating analog-digital hybrid chaotic signals, and an encrypted communication method, wherein the digital chaotic system is less prone to characteristic degradation, and the continuous chaotic system can stably work synchronously for a long time.
  • An embodiment of the present invention provides an analog-digital hybrid chaotic system, including: a digital chaotic system for generating a digital chaotic sequence;
  • a synchronous coupling module configured to generate a synchronization pulse signal for controlling the continuous chaotic system according to states of the digital chaotic system and the continuous chaotic system, and output to the continuous chaotic system;
  • a disturbance coupling module for disturbing the digital chaotic system to prevent degradation of chaotic characteristics of the state of the continuous chaotic system
  • control module configured to control an operating state of the digital chaotic system, the continuous chaotic system, the synchronous coupling module, and the disturbance coupling module.
  • Another embodiment of the present invention provides a method of generating a modulus mixed chaotic signal, including the following steps:
  • a digital chaotic system generates a digital chaotic sequence
  • the digital chaotic system is perturbed according to the state of the continuous chaotic system.
  • Yet another embodiment of the present invention provides an encrypted communication method in which an initial condition and a system parameter of a digital chaotic system in a modular mixed chaotic system of a communication sender and a receiver are both included in both communication ;
  • the method includes:
  • the analog-to-digital hybrid chaotic system of the communication sender uses the chaotic signal generated by itself to encrypt the plaintext to be sent and output the corresponding ciphertext;
  • the analog-to-digital hybrid chaotic system of the communication receiver uses the chaotic signal generated by itself to decrypt the received ciphertext and output the corresponding plaintext;
  • the analog-to-digital hybrid chaotic system of the communication sender and the receiver respectively generates a synchronization pulse signal for controlling the local continuous chaotic system and outputs it to the continuous chaotic system according to the state of the local digital chaotic system and the continuous chaotic system;
  • the analog-to-digital chaotic system of the communication sender and the receiver respectively perturbs the digital chaotic system according to the state of the local continuous chaotic system.
  • the embodiment of the present invention utilizes the complementarity of the cryptographic characteristics and the implementation technology of the digital chaotic cryptosystem and the chaotic synchronization-based secret communication system, and controls the local continuous chaotic system separately by the digital chaotic system separated from each other to separate the different places.
  • the continuous chaotic system can stably synchronize the operation for a long time without transmitting the synchronous drive signal, and effectively improve the anti-attack capability of the chaotic system.
  • the continuous chaotic system separately perturbs the local digital chaotic system to prevent the appearance of the digital chaotic system.
  • the modular mixed chaotic system can overcome the shortcomings of continuous chaotic systems, which are difficult to stably synchronize for a long time and need to transmit synchronization signals through the channel, and can overcome the problem that the existing digital chaotic system is easy to cause characteristic degradation due to the finite word length effect.
  • FIG. 1 is a schematic block diagram of an analog-digital hybrid chaotic system in one embodiment of the present invention
  • FIG. 2 is a block diagram of an embodiment of a timing/counting module shown in FIG.
  • FIG. 3 is a block diagram of an embodiment of another timing/counting module shown in FIG. 1.
  • FIG. 4 is a schematic diagram showing the main timing relationship of the operation of the analog-digital hybrid chaotic system shown in FIG. 1.
  • FIG. 6 is a schematic diagram showing the main timing relationship of the operation of the coupling coupling module shown in FIG. 1;
  • FIG. 7 is a phase diagram of the digital chaotic system 1;
  • Figure 8 is a phase diagram of the continuous chaotic system 1
  • FIG. 9 is a schematic diagram of the error of the 1 and 2 state variables of the continuous Lorenz chaotic system
  • Figure 10 is a schematic diagram of the distribution of 2,000,000 keys output by the analog-digital hybrid chaotic system.
  • DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS A secure communication system according to an embodiment of the present invention is shown in FIG. 1 , in which two analog-digital hybrids are mixed The chaotic systems 1 and 2 are separated from each other.
  • the analog-digital hybrid chaotic system 1 includes: a digital chaotic system 11, a continuous chaotic system 12, a timing/counting module 13, a control module 14, a synchronous coupling module 15, a disturbance coupling module 16, an analog-to-digital conversion module 17, and encoding modules 18 and 19.
  • the analog-digital hybrid chaotic system 2 includes: a digital chaotic system 21, a continuous chaotic system 22, a timing/counting module 23, a control module 24, a synchronous coupling module 25, a disturbance coupling module 26, an analog-to-digital conversion module 27, and encoding modules 28 and 29
  • the digital chaotic systems 11 and 21 can be either differential equations of continuous chaotic systems with finite precision or discrete chaotic systems with other finite precision.
  • the dynamic characteristics of the digital chaotic systems 11 and 21 can be as shown in the following formula (1):
  • X) represents the m-dimensional state variables of the digital chaotic system
  • the digital chaotic systems 11 and 21 produce an output every iteration ⁇ ; It is assumed that the time required for each iterative calculation of the digital chaotic systems 11 and 21 is: and 2 .
  • the general hypothesis 2 ⁇ ⁇ 2 can be omitted, for which the transmitting and receiving parties should agree that ⁇ 2 is the time required for each iterative calculation of the digital chaotic systems 1 1 and 21.
  • the digital chaotic systems 11 and 21 can be fully synchronized.
  • the working states of the digital chaotic systems 11 and 21 are divided into continuous working states ( That is, iteratively calculates the state) and maintains the state.
  • the working states of the continuous chaotic systems 12 and 22 are also divided into continuous working states. And keep the state.
  • timing/counting modules 13 and 23 in Figure 1 have the following functions:
  • the counters Cl1 and C21 provide control signals for controlling the output of the digital chaotic systems 11 and 21 for the respective local control modules 14 and 24; counters C12 and C22 are provided for the respective local control modules 14 and 24 for controlling the digital chaotic system 11
  • the 21-way synchronous coupling modules 15 and 25 output control signals for the status values; the counters C13 and C23 provide respective local control modules 14 and 24 with control signals for controlling the disturbance coupling modules 16 and 26 to disturb the digital chaotic systems 11 and 21.
  • timers T1, T12 and ⁇ 21, ⁇ 22 in the timing/counting modules 13 and 23 there are two timers T1, T12 and ⁇ 21, ⁇ 22 in the timing/counting modules 13 and 23; timers Ti1 and T21 are provided for the respective local control modules 14 and 24 for The synchronous coupling modules 15 and 25 are controlled to output control signals for the synchronization pulses, and the timers T12 and T22 provide respective local control modules 14 and 24 with control signals for controlling the disturbance coupling modules 16 and 26 to sample the continuous chaotic system.
  • the working time of the continuous chaotic system recorded by the timer that is, the timers in the timing/counting modules 13 and 23 pauses when the continuous chaotic system is in the hold state. Therefore, relative to the working time, the duration of the above-mentioned synchronizing pulse acting on the continuous chaotic system is ⁇ 1 and the period of the sampling control signal is ⁇ 2 .
  • control modules 14 and 24 in Figure 1 have the following functions:
  • the respective local digital chaotic systems 11 and 21 are controlled to activate each key.
  • the generation process controls each of the local digital chaotic systems 11 and 21 to complete each key generation process.
  • the outputs of respective local digital chaotic systems 11 and 21 to respective local synchronous coupling modules 15 and 25 are controlled in accordance with the signals of counters C12 and C22 in respective local timing/counting modules I 3 and 23.
  • the disturbance coupling modules 16 and 26 are controlled to sample the respective local continuous chaotic systems 12 and 22 based on the signals of the timers T12 and T22 in their respective local timing/counting modules 13 and 23.
  • the timings at which the disturbance coupling modules 16 and 26 output the disturbance signals are controlled in accordance with the signals of the counters C13 and C23 in the respective local timing/counting modules 13 and 23, so that the digital chaotic systems 11 and 21 can overcome the characteristic degradation problem.
  • control modules 14 and 24 need to control the operating states of the respective local digital chaotic systems 11 and 21 based on the signals of all counters and timers in the respective local timing/counting modules 13 and 23, controlling the respective local continuous chaotic systems 12 and 22 The working state; and controls the speed of the data stream input into the data cache according to the state of their respective local data caches.
  • the synchronous coupling modules 15 and 25 in FIG. 1 generate synchronization pulse signals according to the state values of the respective local digital chaotic system inputs and the state values of the respective local continuous chaotic systems at the current time under the control of the control modules 14 and 24, for respectively
  • the continuous chaotic systems 12 and 22 are synchronously controlled so that stable chaotic synchronization can be achieved between the separated continuous chaotic systems 12 and 22 without the need to transmit synchronization pulse signals.
  • the synchronous coupling modules 15 and 25 can achieve synchronization between the continuous chaotic systems 12 and 22 according to a mathematical model such as equation (3):
  • B is a "order diagonal matrix; is the timing at which the synchronous coupling modules 15 and 25 output the synchronization pulse signal, and ⁇ ⁇ !;
  • Xj (t k ) is the state value of the continuous chaotic systems 12 and 22 at the time of ⁇ 3 ⁇ 4; it is the number of iterations of the output state values of the digital chaotic systems 11 and 21 to the respective local synchronous coupling modules 15 and 25, ⁇ , .
  • the binary state value is converted to a decimal value (ie, the number-to-analog conversion function is implemented); the function w(.) maps the independent variable from the dimensional space to the w-dimensional space.
  • the transmitting and receiving parties need to construct a matrix B for adjusting the amplitude of the error between W(C(X( ))) and . according to the criterion of maintaining stable synchronization between the continuous chaotic systems 12 and 22, and determine the output of the synchronous coupling modules 15 and 25.
  • the respective local continuous chaotic systems are synchronously controlled, so that stable chaotic synchronization can be realized between the separated continuous chaotic systems 12 and 22 without transmitting a synchronization pulse signal.
  • the disturbance coupling modules 16 and 26 in Fig. 1 control the states of the respective local continuous chaotic systems 12 and 22 under the control of the control modules 14 and 24, respectively, and are transformed by the disturbance coupling function and output to the respective local digital chaotic systems 11 and 21, which prevents the degradation of the characteristics of the digital chaotic systems 11 and 21, respectively.
  • the disturbance coupling modules 16 and 26 can prevent degradation of the characteristics of the digital chaotic systems 11 and 21 according to a mathematical model such as (4):
  • the transmitting and receiving parties need to construct the disturbance coupling function ⁇ ( ⁇ ) according to the characteristics of the continuous chaotic systems 12 and 22 and the characteristic degradation characteristics of the digital chaotic systems 11 and 21, and determine the timing of sampling the continuous chaotic system (ie, the sampling clock period ⁇ 2 ) And the number of iterations of the perturbation of the local digital chaotic system makes the statistical characteristic of the perturbation coupling function ⁇ ( ⁇ ) approximate the probability distribution obeyed by the truncation error of the digital chaotic system with a certain precision, so that the disturbed signal acts.
  • the digital chaotic system can overcome the characteristic degradation caused by the finite precision effect.
  • the analog-to-digital conversion modules 17 and 27 of Fig. 1 convert the continuous chaotic signals output by the respective local continuous chaotic systems 12 and 22 into digital chaotic sequences.
  • the encoding modules 18, 19 and 28, 29 of Figure 1 encode their respective local digital chaotic sequences.
  • the multiplexer switches 110 and 210 of FIG. 1 select the digital chaotic sequence output by the digital chaotic systems 11 and 21, the continuous (analog) chaotic signals output by the continuous chaotic systems 12 and 22, and the output modulo of the continuous chaotic systems 12 and 22 -
  • One of the digital chaotic sequences obtained after the number conversion is used as the output of the analog-digital hybrid chaotic system.
  • the digital chaotic sequence output by the system can be used as a pseudo-random number sequence or as a key stream to encrypt the data; the continuous (analog) chaotic signal output by the system can be used to design a secure communication system based on chaotic synchronization.
  • the data caching modules 111, 112 and 211, 212 of Figure 1 are used to cache the respective local plaintext and ciphertext, respectively.
  • the encryption/decryption modules 113 and 213 in Fig. 1 are respectively used to add/decrypt data input to the respective local data buffers.
  • the encryption/decryption module can use the encoded digital chaotic sequence to add/decrypt digital signals, or use the continuous (analog) chaotic signal output from the continuous chaotic system to implement secure communication based on chaotic synchronization.
  • control modules 14 and 24 control respective local digital chaotic systems, continuous chaotic systems, synchronous coupling modules, and disturbance couplings according to various clock signals and control signals provided by the timing/counting modules 13 and 23.
  • Module and data cache In the analog-digital hybrid chaotic systems 1 and 2, the control modules 14 and 24 control respective local digital chaotic systems, continuous chaotic systems, synchronous coupling modules, and disturbance couplings according to various clock signals and control signals provided by the timing/counting modules 13 and 23. Module and data cache.
  • the following is an example of the analog-digital hybrid chaotic system 1 encrypted digital signal, illustrating the main timing relationship of the analog-digital hybrid chaotic system 1.
  • I u denotes an input data stream in which each pulse indicates that 1-bit data is input to the data buffer module 112 of the analog-to-digital hybrid chaotic system 1.
  • D u and D 1; 2 respectively indicate whether the data in the two buffers B11 and B1 2 in the data buffer module 112 are ready: if the buffer is ready for data, the status flag of the buffer is " Otherwise, it is "0". If the status flag is "1", the corresponding buffer above will be prohibited from entering new data; otherwise, it is allowed. In addition, when the data in the above buffer is added/decrypted after that, The corresponding status flag will be set to "0".
  • C li() denotes which buffer data is to be processed by the modular mixed chaotic system 1: d,.
  • the data in the buffer B11 is to be processed as " ⁇ ", and the data in the buffer B11 is to be processed by the modulo hybrid chaotic system 1.
  • Each pulse in C 1) 4 corresponds to the digital chaotic system 11 to perform an iterative calculation.
  • (11), 8 represents the control of the digital chaotic system 11.
  • the digital chaotic system 11 iterates ⁇ times between two adjacent pulses.
  • C 1>9 represents the sampling of the continuous chaotic system 12 by the disturbance coupling module 16.
  • the period of sampling of the continuous chaotic system 12 by the disturbance coupling module 16 is ⁇ 2 relative to the definition of the working time.
  • the counter C11 When the counter C11 records to the digital chaotic system 11 to complete the ⁇ ; iterative calculation, the counter C11 generates a completion signal (as shown by d, 2 in Fig. 4), and the counter C11 returns to zero; at the rising edge of the signal C u Under the trigger, the digital chaotic system 11 outputs the key required for encryption.
  • the analog-digital hybrid chaotic system 1 processes the data in the buffer B11 by using the encryption key output from the digital chaotic system 11; when the data in the buffer B11 is processed, a completion signal is generated (as shown in FIG. 4).
  • the status signal D! of the buffer B11 is set to 0, and the buffer B11 enters the data preparation period.
  • the analog-digital hybrid chaotic system 1 When the signal is "0", the analog-digital hybrid chaotic system 1 will process the data in the buffer B12.
  • the buffer state signal B12 D 2 (FIG. 2 (a) shown in D 2) is "1"
  • the completion signal is generated, the start signal to start again the digital chaotic system 11, the counter restarts the counter C11 C11 Counting, the digital chaotic system 11 enters the next key generation process, and the signal changes from "0" to "1”; the timers T11, T12 and the counters C12, C13 continue to count and count.
  • the digital chaotic system 11 and the continuous chaotic system 12 are in a hold state when the counter C11 generates a completion signal; at the same time, the timers T11, T12 and the counter C12 , C13 stops timing and counting.
  • the time required for completing each iterative calculation may not necessarily be ⁇ 2 . Therefore, when the digital chaotic system 11 recorded by the counter C12 completes the iteration, the continuous working time of the continuous chaotic system 12 is less than ⁇ 2 ⁇ ⁇ (as shown in paragraph II of Fig. 5), for which the digital chaotic system 11 is completed. After the iteration, it needs to be in the hold state until the continuous chaotic system 1.2 has a continuous working time of ⁇ 2 ⁇ ⁇ .
  • the digital chaotic system 11 ends the hold state, and the synchronous coupling module 15 Output synchronous pulse and act on the continuous chaotic system 12 to realize synchronous control of the continuous chaotic system, and the counter C12 and the timer T11 are cleared;
  • the digital chaotic system 11 When the continuous working time 4 of the continuous chaotic system 12 reaches ⁇ 2 . ⁇ , the digital chaotic system 11 has not completed the sub-iterative calculation (as shown in paragraph III of Fig. 5), for which the continuous chaotic system I 2 reaches the continuous working time ⁇ ⁇ 2 ⁇ ' 4 needs to be in hold until the digital chaotic system 11 is finished In the iterative calculation, when the digital chaotic system 11 completes the iteration, the continuous chaotic system 12 ends the hold state, and the synchronous coupling module 15 outputs the synchronization pulse and acts on the continuous chaotic system 12 to realize the synchronous control of the continuous chaotic system, the counter C12 and the timing. T11 is cleared.
  • Fig. 6 it is assumed that the time required for the digital chaotic system 11 to complete each iteration calculation under normal conditions is ⁇ 2 . Then, when the counter C13 records to the digital chaotic system 11 to complete the ⁇ ; iterative calculation, the continuous chaotic system 12 recorded by the timer T12 has a continuous working time ⁇ 2 of exactly ⁇ 2 . ⁇ (as shown in paragraph 1 of Fig. 6) At this time, the disturbance coupling module 15 samples the continuous chaotic system 12 (shown as C1 >9 in FIG. 6) and transforms under the control of the control module 14, and outputs a disturbance signal to the digital chaotic system 11 to implement the digital chaotic system. For the disturbance of 11, the counter C13 and the timer T12 are cleared.
  • the time required for completing each iterative calculation may not necessarily be ⁇ 2 . Therefore, when the continuous working time of the continuous chaotic system 12 reaches ⁇ 2 ⁇ ⁇ ;, the digital chaotic system 11 has not completed ⁇ ; the iterative calculation (shown in paragraph II of Fig. 6), for which the continuous chaotic system 12 continues to work.
  • Time 2 reaches ⁇ 2 . ⁇ ; after that, it needs to be in the hold state until the digital chaotic system 11 completes ⁇ ; the iterative calculation, when the digital chaotic system 11 completes ⁇ ; the iteration, the continuous chaotic system 12 ends the hold state, and the disturbance coupling module 15
  • the continuous chaotic system 12 is sampled (as shown by C 1; 9 in FIG. 6) and transformed under the control of the control module 14, and the disturbance signal is outputted to the digital chaotic system 11 to implement the disturbance to the digital chaotic system 11, the counter C13 And timer T12 is cleared;
  • the continuous chaotic system 12 has a continuous working time ⁇ 2 less than ⁇ 2 . ⁇ (as shown in paragraph III of Fig. 6), for which the digital chaotic system 11 After completing the ⁇ ; iterations, it needs to be in the hold state until the continuous chaotic system 12 has a continuous working time ⁇ 2 of ⁇ 2 ⁇ ⁇ ; when the continuous working time ⁇ 2 of the continuous chaotic system 12 reaches ⁇ 2 . ⁇ ;
  • the system 11 ends the hold state, and the disturbance coupling module 15 performs the like on the continuous chaotic system 12 (shown as C1 ; 9 in FIG. 6) and transforms under the control of the control module 14, and outputs the disturbance signal to the digital chaotic system 11.
  • the counter C13 and the timer T12 are cleared.
  • the continuous chaotic systems 12 and 22 can achieve stable chaotic synchronization without the need to transmit synchronization pulses.
  • the continuous chaotic systems 12 and 22 can realize chaotic synchronization, on the other hand, the error between the digital chaotic system and the local continuous chaotic system does not asymptotically tend to zero, that is, the continuous chaotic system and the local digital chaotic system will not synchronize. , enabling continuous chaotic systems to provide digital chaotic systems Overcome the disturbance of its characteristic degradation phenomenon.
  • time in the above criteria is based on the working time of the continuous chaotic system as the reference time.
  • the Lorenz chaotic system is used to design the modular mixed chaotic system.
  • the numerical chaotic system has an arithmetic precision of 19 bits, of which 7 bits are used to represent the integer part of the variable value in the digital chaotic system, 11 bits are used to represent the fractional part of the variable value in the digital chaotic system, and the remaining 1 bit is used for the remaining 1 bit.
  • ( ⁇ ) is an analog-to-digital conversion function.
  • the number of iterations of the decryption key ⁇ ; -1 , the output signal selected by the multiplexed switch is a digital chaotic sequence output by the digital chaotic systems 11 and 21.
  • FIG. 7 is a phase diagram of a digital chaotic system 11
  • Figure 8 is a phase diagram of a continuous Lorenz chaotic system 12
  • Figures 7 and 8 illustrate that the attractor of an analog-digital hybrid chaotic system still retains the complexity of the Lorenz chaotic system attractor.
  • the analog-digital hybrid chaotic system begins to output the key.
  • Fig. 10 is a distribution chart of 2,000,000 keys / O ), 1, 2, ⁇ ⁇ , 2,000,000) output by the analog-digital hybrid chaotic system 1
  • Figure 10 shows that the key sequence distribution of the analog-digital hybrid system is relatively uniform.
  • the key is XORed with the plaintext (ciphertext) to get the ciphertext (plain text).
  • the Chen chaotic system is used to design the modular mixed chaotic system.
  • the numerical chaotic system has an arithmetic precision of 19 bits, of which 7 bits are used to represent the integer part of the variable value in the digital chaotic system, 11 bits are used to represent the fractional part of the variable value in the digital chaotic system, and the remaining 1 bit is used for the remaining 1 bit.
  • Xj ( + 1) ( ⁇ - ⁇ ) ⁇ Xj ( ⁇ ) + ⁇ ⁇ ⁇ (i) + ⁇ ⁇ ⁇ h(i, y (t))
  • ( ⁇ ) is an analog-to-digital conversion function.
  • the workflow of the modular mixed chaotic cryptosystem is as follows:
  • the communication parties are based on the digital chaotic system (9), the continuous chaotic system (11), and the synchronous conditions (5), (6a), (6b), (8a), and (8b).
  • ⁇ 2 0.33
  • a one-dimensional Logistic chaotic system and a Chen chaotic system are used to design an analog-digital hybrid chaotic system as a digital chaotic system and a continuous chaotic system.
  • the numerical chaotic system has an arithmetic precision of 19 bits, of which 18 bits are used to represent the fractional part of the variable value in the digital chaotic system. The remaining 1 bit is used to represent the sign of the variable value in the digital chaotic system.
  • the local digital chaotic system and the continuous chaotic system are controlled by the control modules 14 and 24 in the analog-digital hybrid chaotic systems 1 and 2, so that the continuous chaotic system separated from the ground can be stably synchronized, and the digital chaotic system Can overcome the phenomenon of characteristic degradation.
  • £ ( ⁇ ) is the analog-to-digital conversion function.
  • the workflow of the modular mixed chaotic cryptosystem is as follows:
  • the communication parties are based on the digital chaotic system (9), the continuous chaotic system (11), and the synchronous conditions (5), (6a), (6b), (8a), and (8b).
  • agreed synchronization coupling modules 15 and 25 Output the duration of the sync pulse ⁇ corpse lOws, the agreed disturbance coupling modules 16 and 26 to the respective digital chaotic system
  • the output signal selected by the road strobe switch is a digital chaotic sequence output by the digital chaotic systems 11 and 21.
  • the analog-digital hybrid chaotic system begins to output the key.

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Abstract

Cette invention concerne un système et un procédé permettant de générer un signal chaotique mixte analogique-numérique et un procédé de communication chiffrée correspondant, faisant appel à la caractéristique complémentaire du système chaotique continu (12,22) et du système chaotique numérique (11,21). Cette invention vise à surmonter la faiblesse qui réside dans le fait que le système chaotique continu (12,22) est incapable de fonctionner de manière stable et synchrone pendant une durée prolongée et que le signal synchrone doit être envoyé dans un canal et à résoudre le problème de dégradation caractéristique du système chaotique numérique (11,21). Selon cette invention, les systèmes chaotiques numériques (11, 21) séparés les uns des autres commandent respectivement des systèmes chaotiques continus locaux (12,22) de façon à permettre aux systèmes chaotiques continus (12,22) séparés les uns des autres de fonctionner de manière stable et synchrone pendant une durée prolongée sans envoi du signal de commande synchrone et d'augmenter la capacité pour protéger efficacement le système contre les attaques. Les systèmes chaotiques continus perturbent le système chaotique numérique local (11,21) pour protéger le système chaotique numérique contre la dégradation caractéristique. La séquence chaotique numérique produite par le système chaotique mixte analogique-numérique (1,2) peut être une séquence de nombres pseudo-aléatoires ou un flot de clés de confidentialité permettant de chiffrer les données ; et le signal chaotique continu produit peut être utilisé pour concevoir le système de communication de confidentialité de type chaotique-synchrone.
PCT/CN2006/003724 2005-12-31 2006-12-30 Système et procédé de génération du signal chaotique mixte analogique-numérique et procédé de communication chiffrée associé WO2007076712A1 (fr)

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Application Number Priority Date Filing Date Title
DE602006013196T DE602006013196D1 (de) 2005-12-31 2006-12-30 Log-digitalen chaotischen signals, verschlüsselungskommunikationsverfahren dafür
AT06840754T ATE462240T1 (de) 2005-12-31 2006-12-30 System und verfahren zum erzeugen des gemischt- analog-digitalen chaotischen signals, verschlüsselungskommunikationsverfahren dafür
EP06840754A EP1971070B1 (fr) 2005-12-31 2006-12-30 Système et procédé de génération du signal chaotique mixte analogique-numérique et procédé de communication chiffrée associé
US12/163,744 US8144872B2 (en) 2005-12-31 2008-06-27 System and method for generating analog-digital mixed chaotic signal, encryption communication method thereof

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CN2005101214973A CN1852089B (zh) 2005-12-31 2005-12-31 用于生成模数混合混沌信号的系统和方法
CN200510121497.3 2005-12-31

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US20090285395A1 (en) 2009-11-19
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